Add to ORKGWe study the equation −div(A(x, u)) = g(x, u, u) + µ where µ is a measure and either g(x, u, u) ∼ |u| q 1 u||u| q 2 or g(x, u, u) ∼ |u| s 1 u + ||u| s 2. We give sufficient conditions for existence of solutions expressed in terms of the Wolff potential or the Riesz potentials of the measure. Finally we connect the potential estimates on the measure with Lipchitz estimates with respect to some Bessel or Riesz capacity
AbstractThis paper studies the p-Laplacian equation −Δpu+λVλ(x)|u|p−2u=f(x,u)inRN, where 1<p<N,λ≥1 a...
This paper is concerned with the existence of a nonnegative ground state solution of the following q...
Contemporary Math., 595, 31-53 (2013)Let $\Omega \subset \mathbb{R}^{N}$ be a smooth bounded domain,...
Journal of Functional Analysis 269 (2015) 1995–2017International audienceWe give new criteria for th...
\begin{abstract} Let $\Omega$ be a bounded domain of $\mathbb{R}^{N}$, and $Q=\Omega \times(0,T).$ W...
to appear in Communications Contemporary MathematicsLet $\Omega$ be a bounded domain of $\mathbb{R}^...
In this paper we prove the existence of a renormalized solution to a class of nonlinear elliptic pro...
to appear in Journal of European Mathematical SocietyLet $\Omega$ be a bounded domain of $\mathbb{R}...
Let $\Omega $ be a bounded domain of $\mathbb{R}^{N}(N\geq 2)$. We obtain a necessary and a sufficie...
International audienceWe study the limit behaviour of solutions of $\prt_tu-\Gd u+h(\abs x)\abs u^{p...
In this paper we consider the Dirichlet problem involving the p(x) and q(x) -Laplacian of the type&m...
We study the inequality $$ {\rm div}\big(|x|^{-\alpha}|\nabla u|^{m-2}\nabla u\big)\geq (I_\beta\ast...
The aim of this study is to prove global existence of classical solutions for problems of the form $...
This paper deals with the nonlinear Dirichlet problem of capillary phenomena involving an equation d...
We consider the following elliptic problem: ? div( |?u| p?2?u |y| ap ) = |u| q?2u |y| bq + ...
AbstractThis paper studies the p-Laplacian equation −Δpu+λVλ(x)|u|p−2u=f(x,u)inRN, where 1<p<N,λ≥1 a...
This paper is concerned with the existence of a nonnegative ground state solution of the following q...
Contemporary Math., 595, 31-53 (2013)Let $\Omega \subset \mathbb{R}^{N}$ be a smooth bounded domain,...
Journal of Functional Analysis 269 (2015) 1995–2017International audienceWe give new criteria for th...
\begin{abstract} Let $\Omega$ be a bounded domain of $\mathbb{R}^{N}$, and $Q=\Omega \times(0,T).$ W...
to appear in Communications Contemporary MathematicsLet $\Omega$ be a bounded domain of $\mathbb{R}^...
In this paper we prove the existence of a renormalized solution to a class of nonlinear elliptic pro...
to appear in Journal of European Mathematical SocietyLet $\Omega$ be a bounded domain of $\mathbb{R}...
Let $\Omega $ be a bounded domain of $\mathbb{R}^{N}(N\geq 2)$. We obtain a necessary and a sufficie...
International audienceWe study the limit behaviour of solutions of $\prt_tu-\Gd u+h(\abs x)\abs u^{p...
In this paper we consider the Dirichlet problem involving the p(x) and q(x) -Laplacian of the type&m...
We study the inequality $$ {\rm div}\big(|x|^{-\alpha}|\nabla u|^{m-2}\nabla u\big)\geq (I_\beta\ast...
The aim of this study is to prove global existence of classical solutions for problems of the form $...
This paper deals with the nonlinear Dirichlet problem of capillary phenomena involving an equation d...
We consider the following elliptic problem: ? div( |?u| p?2?u |y| ap ) = |u| q?2u |y| bq + ...
AbstractThis paper studies the p-Laplacian equation −Δpu+λVλ(x)|u|p−2u=f(x,u)inRN, where 1<p<N,λ≥1 a...
This paper is concerned with the existence of a nonnegative ground state solution of the following q...
Contemporary Math., 595, 31-53 (2013)Let $\Omega \subset \mathbb{R}^{N}$ be a smooth bounded domain,...